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Finding the Fourth Proportional to 203,400,935,999.78, 305,101,403,999.65 and 203,400,935,999.78

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Solution

The fourth proportional to 203,400,935,999.78, 305,101,403,999.65 and 203,400,935,999.78 is: 305,101,403,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,400,935,999.78 : 305,101,403,999.65 = 203,400,935,999.78 : x
  2. Step 2: Convert to fraction form
    203,400,935,999.78/305,101,403,999.65 = 203,400,935,999.78/x
  3. Step 3: Cross multiply
    203,400,935,999.78x = 305,101,403,999.65 × 203,400,935,999.78
  4. Step 4: Simplify right side
    203,400,935,999.78x = 62,057,911,148,375,837,769,728
  5. Step 5: Solve for x
    x = 62,057,911,148,375,837,769,728/203,400,935,999.78
  6. Step 6: Final answer
    x = 305,101,403,999.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.